# Point-Slope Form And Slope-Intercept Form Worksheet With Answer Key

Point-slope form:
- formula used to find the equation of line given a point that the line
passes through, and the slope of the line
- derived from the slope formula
∆��
o slope is �� =
∆��
= �� ( �� − ��
)
o point-slope form is ∆�� = �� ∙ ∆�� or �� − ��
1
1
- ( ��
) represent the point that the line passes through and ��
, ��
1
1
represents the slope of the line
Slope-intercept form:
- way of expressing the equation of a line by isolating the �� variable
and listing the slope of the line �� and its ��-intercept ��
- found by taking point-slope form and getting �� by itself
o �� = ���� + ��
o this means expressing �� in terms of ��
- slope-intercept form can also be found directly by simply identifying
the slope of a line and its ��-intercept
To find the equation of a line, you need the following information:
- either one point that the line passes through and the slope of the line
o find the equation of the line using either slope-intercept form or
point-slope form
- or two points that the line passes through
o find the slope of the line using the two points
o use the slope and either point to find the equation of the line
using either slope-intercept form or point-slope form